Combining Texts

All the ideas for 'On the Question of Absolute Undecidability', 'On the Concept of Number' and 'Continental Philosophy - V. Short Intro'

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11 ideas

1. Philosophy / G. Scientific Philosophy / 3. Scientism

7068	If infatuation with science leads to bad scientism, its rejection leads to obscurantism [Critchley]

1. Philosophy / H. Continental Philosophy / 1. Continental Philosophy

7075	To meet the division in our life, try the Subject, Nature, Spirit, Will, Power, Praxis, Unconscious, or Being [Critchley]

7069	The French keep returning, to Hegel or Nietzsche or Marx [Critchley]

4. Formal Logic / F. Set Theory ST / 1. Set Theory

17884

Mathematical set theory has many plausible stopping points, such as finitism, and predicativism [Koellner]

17893

'Reflection principles' say the whole truth about sets can't be captured [Koellner]

5. Theory of Logic / K. Features of Logics / 5. Incompleteness

17894

We have no argument to show a statement is absolutely undecidable [Koellner]

6. Mathematics / A. Nature of Mathematics / 5. The Infinite / i. Cardinal infinity

17890

There are at least eleven types of large cardinal, of increasing logical strength [Koellner]

6. Mathematics / B. Foundations for Mathematics / 4. Axioms for Number / d. Peano arithmetic

17887

PA is consistent as far as we can accept, and we expand axioms to overcome limitations [Koellner]

6. Mathematics / B. Foundations for Mathematics / 4. Axioms for Number / g. Incompleteness of Arithmetic

17891

Arithmetical undecidability is always settled at the next stage up [Koellner]

6. Mathematics / C. Sources of Mathematics / 7. Formalism

22293

Hilbert said (to block paradoxes) that mathematical existence is entailed by consistency [Hilbert, by Potter]

22. Metaethics / B. Value / 1. Nature of Value / f. Ultimate value

7067	Food first, then ethics [Critchley]